Answer:
The ratio is 3:10.
Step-by-step explanation:
Sandy's orchard has only apple trees and pear trees.
There are 4 apple trees for every 3 pear trees.
She is wanting to plant enough avocado trees so that she has 2 avocado trees for every 5 pear trees in the orchard.
Sandy is planting 18 avocado trees, when we have 2 avocado trees for every 5 pear trees
Then we have 1 avocado trees for every 2.5 pear trees.
Therefore, if we have 18 avocado trees then we will have [tex]18\times2.5[/tex] = 45 pear trees
Also, we have 4 apple trees for every 3 pear trees.
So, for 1 pear tree we have [tex]\frac{4}{3}=1.33[/tex] apple trees.
Lastly, if we have 45 avocado trees then we will have [tex]45\times1.33=59.85[/tex] or rounding to 60 apple trees.
Hence, the ratio of avocado to apple trees = [tex]\frac{18}{60}[/tex] = [tex]\frac{3}{10}[/tex]
The ratio is 3:10.
